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Avrami equation Formula

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Fraction transformed during a solid state transformation. Check FAQs

y = 1 - \exp (- k \cdot t^{n})

y - Fraction transformed?k - Time independent coefficient in Avrami equation?t - Transformation time?n - Time independent constant in Avrami equation?

Avrami equation Example

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Here is how the Avrami equation equation looks like with Values.

Here is how the Avrami equation equation looks like with Units.

Here is how the Avrami equation equation looks like.

0.0488 = 1 - \exp (- 0.0005 \cdot 10^{2})

0.0488 = 1 - \exp (- 0.0005Hz \cdot {10s}^{2})

0.0488 = 1 - \exp (- 0.0005 \cdot 10^{2})

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Avrami equation Solution

Follow our step by step solution on how to calculate Avrami equation?

FIRST Step Consider the formula

y = 1 - \exp (- k \cdot t^{n})

Next Step Substitute values of Variables

∴

y = 1 - \exp (- 0.0005Hz \cdot {10s}^{2})

Next Step Prepare to Evaluate

∴

y = 1 - \exp (- 0.0005 \cdot 10^{2})

Next Step Evaluate

∴

y = 0.048770575499286

LAST Step Rounding Answer

∴

y = 0.0488

Avrami equation Formula Elements

Variables

Functions

Fraction transformed

Fraction transformed during a solid state transformation.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fraction transformed

Time independent coefficient in Avrami equation

Time independent coefficient in Avrami equation representing phase transformation.

Symbol: k

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Time independent coefficient in Avrami equation

Transformation time

Transformation time represents the time in which the phase transformation occurs.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Transformation time

Time independent constant in Avrami equation

Time independent constant in Avrami equation representing phase transformation.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Time independent constant in Avrami equation

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Kinetics of Phase Transformation category

Go Critical radius of nucleus

r * = 2 \cdot 𝛾 \cdot \frac{T m}{ΔH f \cdot ΔT}

Go Critical free energy for nucleation

ΔG * = 16 \cdot π \cdot 𝛾^{3} \cdot \frac{{T m}^{2}}{3 \cdot {ΔH f}^{2} \cdot {ΔT}^{2}}

Go Volume free energy

𝚫G v = ΔH f \cdot \frac{ΔT}{T m}

Go Critical radius of nucleus (from volume free energy)

r * = - 2 \cdot \frac{𝛾}{𝚫G v}

How to Evaluate Avrami equation?

Avrami equation evaluator uses Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation) to evaluate the Fraction transformed, Avrami equation is used to model the solid state phase tranformations. Fraction transformed is denoted by y symbol.

How to evaluate Avrami equation using this online evaluator? To use this online evaluator for Avrami equation, enter Time independent coefficient in Avrami equation (k), Transformation time (t) & Time independent constant in Avrami equation (n) and hit the calculate button.

FAQs on Avrami equation

What is the formula to find Avrami equation?

The formula of Avrami equation is expressed as Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation). Here is an example- 0.048771 = 1-exp(-0.0005*10^2).

How to calculate Avrami equation?

With Time independent coefficient in Avrami equation (k), Transformation time (t) & Time independent constant in Avrami equation (n) we can find Avrami equation using the formula - Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation). This formula also uses Exponential Growth Function function(s).

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Avrami equation Formula

Avrami equation Example

Avrami equation Solution

Avrami equation Formula Elements

Other formulas in Kinetics of Phase Transformation category

How to Evaluate Avrami equation?

FAQs on Avrami equation

Variable Name